Least Common Multiple of 4921 and 4925
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4921 and 4925 the smallest integer that is 24235925 that is divisible by both numbers.
Least Common Multiple (LCM) of 4921 and 4925 is 24235925.
LCM(4921,4925) = 24235925
LCM of 4921 and 4925
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4921 and 4925 by Prime method
- Least Common Multiple of 4921 and 4925 with GCF Formula
LCM of 4921 and 4925 is 24235925
Least common multiple can be found by multiplying the highest exponent prime factors of 4921 and 4925. First we will calculate the prime factors of 4921 and 4925.
Prime Factorization of 4921
| 7 | 4921 |
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 4921 are 7, 19,37. Prime factorization of 4921 in exponential form is:
4921 = 71×191×371
Prime Factorization of 4925
| 5 | 4925 |
| 5 | 985 |
| 197 | 197 |
| 1 |
Prime factors of 4925 are 5,197. Prime factorization of 4925 in exponential form is:
4925 = 52×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 4921 and 4925.
LCM(4921,4925) = 52×71×191×371×1971
LCM(4921,4925) = 24235925
Factors of 4921
List of positive integer factors of 4921 that divides 4921 without a remainder.
1, 7, 19, 37, 133, 259, 703, 4921
Factors of 4925
List of positive integer factors of 4925 that divides 4925 without a remainder.
1, 5, 25, 197, 985, 4925
Least Common Multiple of 4921 and 4925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4921 and 4925, than apply into the LCM equation.
GCF(4921,4925) = 1
LCM(4921,4925) = ( 4921 × 4925) / 1
LCM(4921,4925) = 24235925 / 1
LCM(4921,4925) = 24235925
Properties of LCM 4921 and 4925
(i) The LCM of 4925 and 4921 is associative
LCM of 4921 and 4925 = LCM of 4925 and 4921
Related Least Common Multiples of 4921
Related Least Common Multiples of 4925
Frequently Asked Questions on LCM of 4921 and 4925
1. What is the LCM of 4921 and 4925?
Answer: LCM of 4921 and 4925 is 24235925.
2. What are the Factors of 4921?
Answer: Factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921. There are 8 integers that are factors of 4921. The greatest factor of 4921 is 4921.
3. What are the Factors of 4925?
Answer: Factors of 4925 are 1, 5, 25, 197, 985, 4925. There are 6 integers that are factors of 4925. The greatest factor of 4925 is 4925.
4. How to Find the LCM of 4921 and 4925?
Answer:
Least Common Multiple of 4921 and 4925 = 24235925
Step 1: Find the prime factorization of 4921
4921 = 7 x 19 x 37
Step 2: Find the prime factorization of 4925
4925 = 5 x 5 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24235925 = 5 x 5 x 7 x 19 x 37 x 197
Step 4: Therefore, the least common multiple of 4921 and 4925 is 24235925.